2242555344 has 120 divisors (see below), whose sum is σ = 6356448072. Its totient is φ = 738017280.

The previous prime is 2242555331. The next prime is 2242555387. The reversal of 2242555344 is 4435552422.

2242555344 is a `hidden beast` number, since 22 + 42 + 5 + 553 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233722944 + 2008832400 = 15288^2 + 44820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2242555299 and 2242555308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6352672 + ... + 6353024.

Almost surely, 2^2242555344 is an apocalyptic number.

2242555344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178224036).

2242555344 is an abundant number, since it is smaller than the sum of its proper divisors (4113892728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2242555344 is a wasteful number, since it uses less digits than its factorization.

2242555344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 2242555344 is about 47355.6263183162. The cubic root of 2242555344 is about 1308.9238766473.

The spelling of 2242555344 in words is "two billion, two hundred forty-two million, five hundred fifty-five thousand, three hundred forty-four".